343411002000 has 480 divisors, whose sum is σ = 1356940900224. Its totient is φ = 83249856000.

The previous prime is 343411001987. The next prime is 343411002017. The reversal of 343411002000 is 200114343.

It is a super-2 number, since 2×343411002000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5313882 + ... + 5378118.

Almost surely, 2^343411002000 is an apocalyptic number.

343411002000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343411002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678470450112).

343411002000 is an abundant number, since it is smaller than the sum of its proper divisors (1013529898224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

343411002000 is a wasteful number, since it uses less digits than its factorization.

343411002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64286 (or 64258 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 343411002000 its reverse (200114343), we get a palindrome (343611116343).

The spelling of 343411002000 in words is "three hundred forty-three billion, four hundred eleven million, two thousand".